Matrix Operations Calculator

Matrix Operations Calculator solves every operation step by step — and lets you pick the method. From a quick determinant to a full singular value decomposition, you get the complete worked solution, not just the answer. Works fully offline.
SOLVE SYSTEMS OF LINEAR EQUATIONS
* Gaussian elimination
* Cramer's rule
* Gauss-Jordan
* Inverse matrix method
* Montante (Bareiss algorithm)
DETERMINANT
* Decomposition
* Reduction to triangular form
* Montante (Bareiss algorithm)
* Sarrus' rule (3×3 only)
INVERSE MATRIX
* Gaussian elimination
* Gauss-Jordan
* Algebraic complements
* Montante (Bareiss algorithm)
RANK OF A MATRIX
* Elementary transformations
* Bordering minors
QR DECOMPOSITION
* Gram–Schmidt
* Householder reflections
* Givens rotation
MORE OPERATIONS
* Polar decomposition
* Matrix square root
* Singular value decomposition (SVD)
* Eigenvalues, eigenvectors & eigendecomposition (diagonalization)
* Matrix minor, cofactor & adjoint
* LU, Schur & Cholesky decomposition
* Solving matrix equations
* Raising a matrix to a power
* Multiplying a matrix by a number
* Transposition, addition, subtraction & multiplication
FEATURES
* Step-by-step solutions for every operation
* Custom keyboard for fast data entry
* Save and edit your solutions
* Works without an internet connection
* Results as ordinary or decimal fractions
Web version: https://matrix-operations.com